Correspondance de Jacquet-Langlands \'etendue \`a toutes les repr\'esentations
Group Theory
2007-05-23 v2
Abstract
We propose a generalisation of the Jacquet-Langlands correspondence to the whole Grothendieck group of finite lenght admissible representations. As an application we prove some particular cases of the global Jacquet-Langlands correspondence, and that a class of representations of a inner form of GL_n over a p-adic field is unitarisable, which agree with some conjecture of Tadic.
Keywords
Cite
@article{arxiv.math/0201142,
title = {Correspondance de Jacquet-Langlands \'etendue \`a toutes les repr\'esentations},
author = {Alexandru Ioan Badulescu},
journal= {arXiv preprint arXiv:math/0201142},
year = {2007}
}